Answer:
-625
Step-by-step explanation:
1. the formula is:
[tex]a_n=a_1+d*(n-1);[/tex]
where n - the number of the required term, d - the step between two neighbor terms, a₁ - the first term of the given sequence.
2. according to the formula above:
[tex]a_{51}=25-13*(51-1)=25-650=-625.[/tex]
A small drink holds 50% as much as a large drink. If the large drink holds 24 ounces, how much does the small drink hold?
Answer:
12
Half of 24 is 12
I hope this helps C:
Answer:
23.5
Step-by-step explanation:
i hope this is helpful :)
many years ago, some doctors administered medication to patients themselves, as opposed to using a pharmacist. One curious yet unethical doctor decided to start giving all of his patients sugar pills in place actual medication, to his surprise, many of his patients actually had their symptoms vanish despite not getting the actual medication. explain how this might happen.
Answer:
They are now dead
Step-by-step explanation:
Jake Paul
2x {3x [40 - (I0 x 2)]} = ?
the answer its 120 hope helps you
is 45/9 a interger or a other type of number?
Answer:
it is an integer.
Step-by-step explanation:
Answer:
Interger because it's a whole number and whole numbers are intergers. Hope this helps pls give brainliest
Step-by-step explanation:
Plz help me with this???
Answer:
2/3+1/5=10/15+3/15=13/15
Step-by-step explanation:
Hope this helps!
PLEASE ANSWER PLS
HELPP
Rudy invested $2460 in a money market account for 3 and 1/2 years. He earned $452 in simple interest. Which best represents the annual interest rate?
A. 3 and 3/5 percent
B. 5 and 1/4 percent
C. 5 and 3/4 percent
D. 6 and 2/5 percent
Answer:
B. 5 and 1/4 percent
Step-by-step explanation:
Step one:
given
principal= $2460
time= 3 and 1/2 years= 3.5 years
SI= $452
Required
The rate
Step two:
we know that
SI= PRT/100
substituting our data we have
452= 2460*R*3.5/100
452=8610R/100
cross multiply
452*100= 8610R
divide both sides by 8610
45200/8610= R
R= 5.25%
R= 5 and 1/4 percent
Use a parametrization to express the area of the surface as a double integral. Then evaluate the integral. The portion of the cylinder x^2+y^2=16 between the planes z=4 and z=5
Let u=z and v=θ and use cylindrical coordinates to parameterize the surface. Set up the double integral to find the surface area.
Answer:
The answer is "[tex]8\pi[/tex]"
Step-by-step explanation:
[tex]\to r(v,u) =(4 \cos v, 4 \sin v,u) \\\\0\leq v \leq 2\pi, \ \ 4\leq u\leq 5\\\\\to r_v= (-4 \sin v, 4 \cos v, 0)\\\\\to r_u=(0,0,1)[/tex]
[tex]\to r_v\times r_u = \left|\begin{array}{ccc}\hat{i}&\hat{j}&\hat{k}\\-4 \sin v& 4 \cos v& 0\\0&0&1\end{array}\right| \\\\[/tex]
[tex]= (4 \cos v, -4 \sin v, 0)[/tex]
[tex]|r_v \times r_u| = \sqrt{16 \cos^2 v +16 \sin^2 v}\\\\[/tex]
[tex]= \sqrt{16( \cos^2 v + \sin^2 v)}\\\\= \sqrt{16(1)}\\\\= \sqrt{4^2}\\\\=4[/tex]
Calculating the surface area:
[tex]=\int^{2\pi}_{0} \int^{5}_{4} 4 \ du \ dv \\\\=\int^{2\pi}_{0} 4[4]^{5}_{4} \ dv \\\\=\int^{2\pi}_{0} 4[5-4] \ dv \\\\=\int^{2\pi}_{0} 4 \ dv \\\\=4 [v]^{2\pi}_{0}\\\\= 4 \times 2\pi\\\\= 8\pi[/tex]
This question is based on the parametrization. Therefore, 8[tex]\pi[/tex] is the surface area as a double integral by using parametrization.
Given:
The portion of the cylinder [tex]x^{2} +y^{2} = 16[/tex] between the planes z=4 and z=5.
Let u=z and v=θ and use cylindrical coordinates to parameterize the surface.
We need to express the area of the surface as a double integral.by using parametrization.
According to the question,
It is given that u=z and v=[tex]\theta[/tex],
Therefore, r(v,u) = (4 Cos v,4 Sin v, u)
Range of v : 0 [tex]\leq[/tex] v [tex]\leq[/tex] 2[tex]\pi[/tex]
Range of u : 4 [tex]\leq[/tex] u [tex]\leq[/tex] 5
[tex]\rightarrow r_v= (-4 \;sin\; v,4\;cos\; v,0)\\\rightarrow r_u=(0,0,1)[/tex]
[tex]\rightarrow r_u \times r_v =\begin{bmatrix} \hat{i}& \hat{j} & \hat{k}\\ -4\; sin\;v & 4\; cos\; v & 0 \\ 0 & 0 & 1\end{bmatrix}\\\\=(4 cos v,\;-4 sin v ,0)\\\\\left | r_v \times r_u \right | = \sqrt{16cos^{2}v+16sin^2v } \\\\= \sqrt{16(cos^{2}v+sin^2v) }\\\\=\sqrt{16}\\\\=4[/tex]
Now calculating the surface area,
[tex]=\int\limits^{2\pi}_0\int\limits^5_4 4 du\; dv\\\\=\int\limits^{2\pi}_0 4[u]^5_4 dv\\\\=\int\limits^{2\pi}_0 4[5-4] dv\\\\\\=\int\limits^{2\pi}_0 4dv\\\\\\=4[v]^{2\pi}_0 = 4(2\pi-0)= 8\pi[/tex]
Therefore, 8[tex]\pi[/tex] is the surface area as a double integral by using parametrization.
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Please help me out!!!
Answer:
Shifts 4 units down ---> [tex]g(x)=2x-10[/tex]
Stretches f(x) by a factor of 4 away from x-axis--->[tex]g(x)=8x-6[/tex]
Shifts f(x) 4 units right---> [tex]g(x)=2x-14[/tex]
Compress f(x) by a factor of 1/4 toward the y-axis ---> [tex]g(x)=1/2x-3/2[/tex]
Step-by-step explanation:
We are given [tex]f(x)=2x-6[/tex]
We need to match the transformations.
1) shifts f(x) 4 units down.
When function f(x) shifts k units down the new function becomes f(x)-k
In our case
[tex]g(x)=2x-6-4\\g(x)=2x-10[/tex]
So, Shifts 4 units down ---> [tex]g(x)=2x-10[/tex]
2) Stretches f(x) by a factor of 4 away from x-axis
When function f(x) is stretched by a factor of b away from x-axis the new function becomes f(bx)
[tex]g(x)=2(4x)-6\\g(x)=8x-6[/tex]
So, Stretches f(x) by a factor of 4 away from x-axis--->[tex]g(x)=8x-6[/tex]
3) Shifts f(x) 4 units right
When function f(x) shifts h units right the new function becomes f(x-h)
[tex]g(x)=2(x-4)-6\\g(x)=2x-8-6\\g(x)=2x-14[/tex]
So, Shifts f(x) 4 units right---> [tex]g(x)=2x-14[/tex]
4) Compress f(x) by a factor of 1/4 toward the y-axis
When function f(x) is compressed by h factor of a toward the y-axis the new function becomes h.f(x)
[tex]g(x)=1/4(2x-6)\\g(x)=1/2x-3/2[/tex]
Compress f(x) by a factor of 1/4 toward the y-axis ---> [tex]g(x)=1/2x-3/2[/tex]
(Option Not given)
(If we compress f(x) by a factor of 4 towards y-axis we get g(x)=8x-24)
0.586 redondeado a la centesima mas cerca
It should be noted that rounding off 0.586 to the nearest hundredth will be 0.59.
How to illustrate the information?It should be noted that rounding to the nearest hundredth simply means the rounding of any decimal number to its nearest hundredth value.
Fyr example, it should be noted that in the decimal, hundredth means 1/100 or 0.01. For example, the rounding of 3.267 to its nearest hundredth is 3.23.
It should be noted that in this case, it should be noted that rounding off 0.586 to the nearest hundredth will be 0.59.
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Choose the model that represents the same function as the graph of f (x)
y=1/2x-3
The graph shows that the line moves up 1 and right 2, up 1 and right 3, etc., and that b is the y intercept. It denotes a positive 1/2 slope.
The y intercept is -3 because the line crosses the y axis at -3. The shaded region has to be below the line. Our response is the second graph in the first row.
so
y= 1/2x -3
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If n is a positive integer divisible by 3 and n is less than or = 44, then what is the highest possible value of n?
Answer:
o dont know
Step-by-step explanation:
I GIVE BRAINLIEST!
Someone explain please!
Answer: 7 8 9 7 6 12 2 0
Step-by-step explanation:
Answer:
1) -8m +4+p
2) 10-3t
3)im not sure for the rest
Step-by-step explanation:
The ratio 4/7 : 8/21 has a unit rate of 3/2. True or false?
The statement 'The ratio 4/7 : 8/21 has a unit rate of 3/2.' is True.
In this question, we have been given a statement 'The ratio 4/7 : 8/21 has a unit rate of 3/2.'
We need to check whether the statement is True or False.
We have been given the ratio of two fractions.
4/7 : 8/21
We know that for any non zero real numbers a, b, c, d,
a/b : c/d = a/b × d/c
So, we can write given ratio as,
4/7 : 8/21
= 4/7 × 21/8
= 3/2
In the given statement, it is mentioned that, the ratio 4/7 : 8/21 has a unit rate of 3/2.
This means, the given statement is correct.
Therefore, the statement 'The ratio 4/7 : 8/21 has a unit rate of 3/2.' is True.
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What is the best first step in solving m–2(m–4)≤3m for m? Distribute -2 through the parentheses. Add 4 to both sides of the inequality. Reverse the direction of the inequality sign. Subtract m from both sides of the inequality.
The best first step in solving m–2(m–4)≤3m for m will be A. Distribute -2 through the parentheses.
What is an inequality?It should be noted that an inequality simply means a relation between the expressions that are unequal.
It should be noted that the best first step in solving m–2(m–4)≤3m for m will be to distribute -2 through the parentheses.
This is important in order to have variables of m and then solve accordingly.
In conclusion, the best option is A.
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If f(x)=2x and g(x)=x−3, then find f(x)·g(x).
Question 19 options:
2x2−6x
2x2−6
2x2−3
3x−3
Answer:
2x^2 - 6x
Step-by-step explanation:
2x(x-3)
= 2x^2 - 6x
What does the variable represent in your equation?
Answer:
A variable is a quantity that may change within the context of a mathematical problem or experiment.
Question 1 (10 points)
(04.02 MC)
A proportional relationship between the number of pounds of kiwis (x) and the price in dollars (y) can be graphed, and the ordered pair (3, 2) would be on the graphed line.
Part A: What is the price of 1 pound of kiwis? Show your work. (8 points)
Part B: What does the ordered pair (6, 4) which is the line in the graph represent? Explain in words. (2 points)
Your answer:
Answer:
[tex]1\ pound = \$ \frac{2}{3}[/tex]
6 pounds of kiwis cost $4
Step-by-step explanation:
Given
[tex]x = pound\ of\ kiwis[/tex]
[tex]y = price\ in\ dollars[/tex]
[tex](x,y) = (3,2)[/tex]
Solving (a): Price of 1 pound kiwi
The given parameters can be translated to be:
3 pounds costs $2
i.e.
[tex]3\ pounds = \$2[/tex]
To get the cost of 1 pound, we divide both sides by 3
[tex]\frac{3\ pounds}{3} = \frac{\$2}{3}[/tex]
[tex]1\ pound = \frac{\$2}{3}[/tex]
[tex]1\ pound = \$ \frac{2}{3}[/tex]
Solving (b): What does (6,4) represent
This can be rewritten as:
[tex](x,y) = (6,4)[/tex]
Recall that the representation is:
[tex]x = pound\ of\ kiwis[/tex]
[tex]y = price\ in\ dollars[/tex]
By comparison:
[tex]x = 6\\ y = 4\\[/tex]
So, the above can be translated to mean.
6 pounds of kiwis cost $4
Answer:
6 pounds of kiwis cost $4
Step-by-step explanation:
Solve | =
711.6Y/
K²
for K².
The answer is K^2 = 711.6Y on solving the given equation.
Given that, 1 = 711.6Y/K^2 and we have to solve it for the value of K^2. For this we simply have to solve the given equation steps wise. So, let's proceed to solve the equation.
1 = 711.6Y/K^2
Now, multiply K^2 with 1, we get
K^2 = 711.6Y
So, the value of k^2 will be equal to Y times 711.6 and further we can solve it for the various value of Y.
Let us suppose, we have to solve the above equation for the specific value of Y.
So, put Y = 1
On solving, we get
K^2 = 711.6x1
K^2 = 711.6
K = (711.6)^(1/2)
K = 26.67
∴ K^2 = 711.6Y is the equation we will get on solving the equation given to us in the question.
Hence, K^2 = 711.6Y is the required answer.
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help, I need help. please
Answer:
4 1/2 and 7 1/4
Step-by-step explanation:
Given the points below, find XY. Round to
the nearest hundredth.
X(-9, 2) and Y(5, -4)
The distance between X(-9,2) and Y(5,-4) is 15.23 units.
The distance formula states that if there are 2 points A(x1, y1) and B(x2, y2), then the distance between the two points is given by the formula-
[tex]\sqrt{(x1-x2)^{2} + (y1-y2)^{2} }[/tex]
Here, we are given that there are 2 points- X(-9, 2) and Y(5, -4)
So here we can say that,
x1 = -9, y1 = 2
and x2 = 5, y2 = -4
Now, plugging in the values given above in the distance formula we will find XY as follows-
XY = [tex]\sqrt{(-9-5)^{2} + (5+4)^{2} }[/tex]
XY = [tex]\sqrt{(-14)^{2} + (9)^{2} }[/tex]
XY = [tex]\sqrt{196+ 81 }[/tex]
XY = [tex]\sqrt{277 }[/tex]
The square root of 277 is approximately 15.23.
Thus, XY = 15.23
Therefore the value of XY to the nearest hundredth is 15.23 units.
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What number is 75%of32
Answer: 24
I am bad at explaining so i wouldn't help there
Answer:
24
Step-by-step explanation:
75% is also 3/4. 3/4 out of 32 can be 3 x 32/4 which is 3 x 8, or 24.
A baker has 134 cup of sprinkles to spread on cupcakes. Each cupcake needs 18 cup of sprinkles. How many cupcakes can the baker sprinkle?
Answer:
[tex]Cupcakes = 7[/tex]
Step-by-step explanation:
Given
[tex]Total\ Sprinkles = 134[/tex]
[tex]Sprinkle\ per\ cupcake = 18[/tex]
Required
Determine the number of cupcakes
To do this, we simply divide the total cups of sprinkle by the sprinkles per cupcake
[tex]Cupcakes = \frac{Total\ Sprinkles}{Sprinkle\ Per\ Cupcake}[/tex]
This gives:
[tex]Cupcakes = \frac{134}{18}[/tex]
[tex]Cupcakes = 7.44[/tex]
[tex]Cupcakes = 7[/tex] approximated
Hence, 7 cupcakes are needed
Write an equation to model each situation and solve. Be sure to label the solution.
7. A rectangle has a length of 2x - 12 units and a width of 3 units. The value of the
rectangle's area is equal to the value of its perimeter. Write an equation to represent this
situation. Then, solve the equation.
Need a equation and a solution.
Answer:
A. 3(2x - 12) = 2(3 + 2x - 12)
B. Length = 6, width = 3
Step-by-step explanation:
l = 2x - 12
w = 3
Area = 3(2x - 12)
Perimeter = 2(3 + 2x - 12)
if A = P
3(2x - 12) = 2(3 + 2x - 12)
6x - 36 = 6 + 4x - 24
6x - 4x = 6 - 24 + 36
2x = 18
x = 9
Length = 2x - 12 = 2(9) - 12 = 18 - 12 = 6
Use laws of logical equivalence (not truth tables) to prove that the following sentences
are logically equivalent.
(A & ~B) V (A & ~C)
~~A &~ (B & C)
Answer:
See below
Step-by-step explanation:
Refer to the attachment.
Given:
(A ∧∼B) ∨ (A ∧ ∼C)
Solving steps:
≡A∧(∼B∨∼C). . . . . Distributive Law
≡A∧∼(B∧C). . . . . . De Morgan's Law
≡∼(∼A)∧∼(B∧C). . . . . . Double Negation Law
Hence,
(A ∧∼B) ∨ (A ∧ ∼C)≡∼(∼A)∧∼(B∧C) [Proven]
A bag contains coins consisting of quarters and dimes.
The total value of the coins is $8.65. There are 6 more
dimes than quarters. Which system of equations can be
used to determine the number of quarters, x, and the
number of dimes, y, in the bag?
x = y + 6 & 25x + 10y = 865
y = x + 6 & 10x + 25y = 8.65
10 = x +y & .25x + .10y = 8.65
y = x + 6 & 25x + 10y = 8.65
A (i think)
Step-by-step explanation:
Find the difference
$9.36 - $1.12
Monday
American Industries charges
$5 a day and $3.50 and hour
to rent a drill. Write and solve
an equation to show how
much it will cost you to rent a
drill for 6 hours.
Answer:
Step-by-step explanation:
so the equation will be: y = 5 + 3.50x. y is the total cost, and x is the number of hours. To solve for 6 hours, just plug 6 into the equation so: y = 5 + 3.50(6) = 26. So the answer is: it costs $26.00 to rent a drill for 6 hours.
Xandra’s average is 94.61 which is rounded to 95, the rounded number can be classified as the numbers below except what number? *
1 point
imaginary number
rational number
whole number
natural number
Which number have a subset of zero and natural numbers? *
1 point
imaginary numbers
real numbers
whole numbers
counting numbers
Which is always true from the statements below? *
1 point
Real numbers are rational numbers.
Natural numbers are real numbers.
Irrational numbers are integers.
Decimals are rational number.
*
1 point
Captionless Image
Rey
RM
John
Jeson
What subset of real numbers contains non-repeating, non-terminating decimals? *
1 point
rational numbers
whole numbers
irrational numbers
imaginary numbers
Which values are in ascending order? *
1 point
Captionless Image
D
A
B
C
Which has the smallest value from the choices below? *
1 point
Captionless Image
D
C
B
A
Which can be classified as irrational number? *
Captionless Image
D
C
B
A
What kind of number does have elements ... , −3, −2, −1, 0, 1, 2, 3, ... ? *
1 point
whole numbers
irrational numbers
natural numbers
integers
Which is arranged in descending order? *
1 point
Captionless Image
D
C
B
A
Answer:
I believe the answer is a imaginary number... I only know the fist one I'm sorry..
Step-by-step explanation:
I think this because a rational number is a number that is real. A Whole number is one without decimals. A natural number is something that is also real. I really hope this is helpful.
Given that the weights of bags of potato chips are normally distributed with an average weight of 16 ounces and a standard deviation of 0.4 ounces, find the following probability.
That a randomly selected bag weighs between 15.6 ounces and 16.4 ounces
That a randomly selected bag weighs between 15.2 ounces and 16.8 ounces.
That a randomly selected bag weighs less than 14.8 ounces.
probability of a randomly selected bag weighing between 15.6 ounces and 16.4 ounces is 0.68269.
probability of a randomly selected bag weighing between 15.2 ounces and 16.8 ounces is 0.9545.
probability of a randomly selected bag weighing less than 14.8 ounces is 0.0013499.
What is Z-Sore?The relationship between a value and a set of values' mean is described by the statistical measurement known as the Z-score. Standard deviations from the mean serve as a unit of measurement for the Z-score. A Z-score of zero means the data point's score is the same as the mean score.
Given, Given that the weights of bags of potato chips are normally distributed with an average weight of 16 ounces and a standard deviation of 0.4 ounces. thus,
μ = 16
σ = 0.4
for randomly selected bags weighing between 15.6 ounces and 16.4 ounces
x₁ = 15.6
x₂ = 16.4
Z score = ( x - μ)/σ
z₁ = (15.6 - 16) / 0.4
z₁ = -1
z₂ = (16.4 - 16)/ 0.4
z₂ = 1
From the table of normal distribution (z²)
the probability of getting the value between -1 to 1 is = 0.68269
for randomly selected bags weighing between 15.2 ounces and 16.8 ounces
x₁ = 15.2
x₂ = 16.8
Z score = ( x - μ)/σ
z₁ = (15.2 - 16) / 0.4
z₁ = -2
z₂ = (16.8 - 16)/ 0.4
z₂ = 2
From the table of normal distribution (z²)
the probability of getting the value between -2 to 2 is = 0.9545
for randomly selected bags weighing less than 14.8 ounces.
x = 14.8
Z score = ( x - μ)/σ
z = (14.8 - 16) / 0.4
z = -3
From the table of normal distribution (z²)
the probability of getting a value less than 14.8 = 0.0013499
Therefore, The probability that a randomly chosen bag will weigh between 15.6 and 16.4 ounces is 0.68269. The probability that a randomly chosen bag will weigh between 15.2 and 16.8 ounces is 0.9545. The probability that a randomly chosen bag will weigh less than 14.8 ounces is 0.0013499.
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